The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of their tires has increased. In order to test the validity of their belief, the correct set of hypotheses is A)H₀: $\mu$ 40,000 C)H₀: $\mu$ 40,000 H_a: $\mu$ 40,000 D)H₀: $\mu$ 40,000 H_a: $\mu$

Question

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of their tires has increased. In order to test the validity of their belief, the correct set of hypotheses is A)H₀: $\mu$ < 40,000 H_a: $\mu$ 40,000 B)H₀: $\mu$ 40,000 H_a: $\mu$ > 40,000 C)H₀: $\mu$ > 40,000 H_a: $\mu$ 40,000 D)H₀: $\mu$ 40,000 H_a: $\mu$ < 40,000

Quizplus · Accepted Answer

This set of hypotheses is testing whether the mean life expectancy of Whitney Tire Company's tires has increased, which means we are conducting a one-tailed test. The null hypothesis would be that the mean life expectancy is still 40,000 miles or less, while the alternative hypothesis would be that it is greater than 40,000 miles. Therefore, the correct set of hypotheses is H₀: F1F1F1S1μF1F1F10 ≤ 40,000 and H_a: F1F1F1S1μF1F1F10 > 40,000, which is represented by choice B.

The Average Life Expectancy of Tires Produced by the Whitney μ\muμ

The Average Life Expectancy of Tires Produced by the Whitney $\mu$